And in the latest development since 44 PATH cops were hit with disciplinary charges last week, the bistate agency said it is taking steps to curb abuse.

“The Port Authority has begun the process to design access-control to keep track of PATH police officers entering and leaving — an electronic time stamp on break-area comings and goings,” a spokesman told The Post Saturday.

“This could lead to charges against one or more of these cops for taking federal money,” said a source familiar with the situation. “It is not supposed to pay them to sleep.”

The feds have awarded the Port Authority $51 million in grants to enhance security in New York and New Jersey since 2014.

Last year, the PA doled out $221 million in overtime — 17 percent of all its labor expenses. Most of the overtime went to police officers.

“It is possible” that Homeland Security funds are involved, “but that can’t be determined until the IG investigation is complete,” said a spokeswoman for FEMA, which runs the grant program.

The amount of federal funding paid to the accused PATH officers, if any, is “unknown,” the Port Authority said.

While the internal probe focuses on behavior in “break” areas, a police source said cops refer to the areas as “E-rooms” (for emergency), where they process arrests and do paperwork or other duties, not just take breaks.

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Bobby Egbert, a PBA spokesman, questioned whether any sergeants or lieutenants would face charges for failing to oversee the cops. Police Inspector Robert Terrett, commander of the PATH patrol, was transferred in the scandal.

“That’s an issue we’ve been bringing up to them. You need more supervisors,” Egbert said.